540138700800 has 576 divisors, whose sum is σ = 1968223927020. Its totient is φ = 141557760000.

The previous prime is 540138700793. The next prime is 540138700813. The reversal of 540138700800 is 8007831045.

540138700800 is a `hidden beast` number, since 540 + 1 + 38 + 7 + 0 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 513294336 + 539625406464 = 22656^2 + 734592^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×540138700800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449740200 + ... + 449741400.

Almost surely, 2^540138700800 is an apocalyptic number.

540138700800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540138700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984111963510).

540138700800 is an abundant number, since it is smaller than the sum of its proper divisors (1428085226220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540138700800 is a wasteful number, since it uses less digits than its factorization.

540138700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 540138700800 in words is "five hundred forty billion, one hundred thirty-eight million, seven hundred thousand, eight hundred".